Question

How many solutions does this equation have? 6x + 2 = x + 2

Answer 1

Hey there!

$\bold{SUBTRACT\ x\ to\ BOTH\ SIDES}$

$\bold{6x+2-x=x+2-x}$

$\bold{Cancel \ out: x -x\ because\ it\ us\ 0}$

$\bold{Keep: 6x-x\ because\ that\ helps\ solve\ for\ x}$

$\bold{6x-x =5x}$

$\bold{New\ equation: 5x+2=2}$

$\bold{SUBTRACT\ 2\ to\ BOTH\ SIDES}$

$\bold{5x+2-2=2-2}$

$\bold{Cancel\ out: 2-2\ (on\ the\ LEFT\ SIDE)\ because\ that\ gives\ you\ 0 }$

$\bold{Keep: 2-2\ (on\ the\ RIGHT\ SIDE)\ because\ it\ helps\ us\ solve\ for\ x}$

$\bold{2-2=0}$

$\bold{New\ equation: 5x=0}$

$\bold{DIVIDE\ 5\ to\ BOTH\ SIDES}$

$\bold{\dfrac{5x}{5}=\dfrac{0}{5}}$

$\bold{Cancel\ out: \dfrac{5}{5} \ because\ it\ gives\ you\ 1}$

$\bold{Keep: \dfrac{0}{5}\ because\ it\ helps\ solve\ for\ x}$

$\bold{x=\dfrac{0}{5}}$

$\boxed{\boxed{\bold{Answer: \boxed{\bold{x=0}} }}}\huge\checkmark$

Good luck on your assignment and enjoy your day!

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